3223311321104 has 240 divisors, whose sum is σ = 7585228465200. Its totient is φ = 1321891135488.

The previous prime is 3223311321103. The next prime is 3223311321121. The reversal of 3223311321104 is 4011231133223.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 382913440000 + 2840397881104 = 618800^2 + 1685348^2 .

It is not an unprimeable number, because it can be changed into a prime (3223311321103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498267182 + ... + 498273650.

It is an arithmetic number, because the mean of its divisors is an integer number (31605118605).

Almost surely, 2^{3223311321104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223311321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792614232600).

3223311321104 is an abundant number, since it is smaller than the sum of its proper divisors (4361917144096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3223311321104 is a wasteful number, since it uses less digits than its factorization.

3223311321104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 3223311321104 its reverse (4011231133223), we get a palindrome (7234542454327).

The spelling of 3223311321104 in words is "three trillion, two hundred twenty-three billion, three hundred eleven million, three hundred twenty-one thousand, one hundred four".